1
Tutorial Questions (Part 1)
Number systems
1.
(a) Convert the hexadecimal number A59.FCE to binary.
(b) Convert the decimal number 1400.16 to hexadecimal.
(c) Convert the binary number 101011100.000111 into octal.
(d) Convert the decimal number 166.34 into binary.
(e) Convert the 8421 BCD number 0100011000100011 into decimal.
(f) (62)
x
 (26)
x
= (34)
x
. Identify
x
.
2.
Compute the number of bytes addressed in a memory with following ranges
(a)
Start: 0x3000, End: 0x4FFF
(b)
Start: 0x4000, End: 0x533F
3.
Compute the end address of a memory with 13Kbytes of data starting at 0x6000.
4.
Convert the following decimal numbers into 8bit signed magnitude representations:
(a) +127
(b) 0
(c) 55
5.
Convert the following signed decimal numbers into 10 bit 1’s complement
representations.
(a) 43
(b) 1
(c) 128
6.
Convert the following 2s complement numbers to their signed decimal equivalents:
(a) 01111001
(b) 11111111
(c) 10000
(d) 10000001
7.
(a) What is the ordinary 8 bit binary equivalent of the decimal number 250?
(b) What decimal number does the above bit pattern correspond to if interpreted as i)
a signed magnitude number ii) a 1's complement number and iii) a 2's complement
number?
8.
Show how the following can be added in 2’s complement notation using 8bit
arithmetic
(a) 27 + 38
(b) (1) + 45
(c) 128 + (60)
(d) 55 + 75
9.
Compute and give the final answer in 2’s C notation: (10100)
2’s
+ (00100)
SM
Boolean algebra and minimization
10.
A switching circuit has four inputs as shown.
A
and
B
represent the first and
second bits of a binary number
N
1
.
C
and
D
represent the first and second bits of a
binary number
N
2
. The output is to be 1 only if the product
N
1
x
N
2
is less than or
equal to 2.
(a)
Write the truth table for the system.
(b)
Write the canonical SOP and POS expressions for
F
.
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 Spring '11
 phoon
 Boolean Algebra, Binary numeral system, Decimal, Binarycoded decimal, decimal number

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